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Finding the Third Proportional to 171,708.50 and 376,222

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Solution

The third proportional to 171,708.50 and 376,222 is: 824,321.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,708.50 : 376,222 = 376,222 : x
  2. Step 2: Convert to fraction form
    171,708.50/376,222 = 376,222/x
  3. Step 3: Cross multiply
    171,708.50x = 376,222 × 376,222
  4. Step 4: Simplify right side
    171,708.50x = 141,542,993,284
  5. Step 5: Solve for x
    x = 141,542,993,284/171,708.50
  6. Step 6: Final answer
    x = 824,321.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.